Illustration of an octagonal antiprism. An antiprism is formed by having two parallel congruent bases connected by an alternating band of triangles. The bases in this illustration are octagons.

Octagonal Antiprism

Illustration of an octagonal antiprism. An antiprism is formed by having two parallel congruent bases…

Illustration of an octagonal antiprism. An antiprism is formed by having two parallel congruent bases connected by an alternating band of triangles. The bases in this illustration are octagons.

Octagonal Antiprism

Illustration of an octagonal antiprism. An antiprism is formed by having two parallel congruent bases…

Illustration of a skewed (non-right) octagonal antiprism. An antiprism is formed by having two parallel congruent bases connected by an alternating band of triangles. The bases in this illustration are octagons.

Skewed Octagonal Antiprism

Illustration of a skewed (non-right) octagonal antiprism. An antiprism is formed by having two parallel…

Illustration of a octagonal bifrustum created by three parallel planes of octagons with the middle plane largest. The top and bottom octagons are congruent. It can be constructed from two congruent frustums across a plane of symmetry, or as a bipyramid with truncated vertices.

Octagonal Bifrustum

Illustration of a octagonal bifrustum created by three parallel planes of octagons with the middle plane…

Illustration of a circle with a polygon (octagon) and square inscribed.

Circle With Polygon and Square Inscribed

Illustration of a circle with a polygon (octagon) and square inscribed.

A flashcard featuring an illustration of a polygon with eight equal sides

Flashcard of a polygon with eight equal sides

A flashcard featuring an illustration of a polygon with eight equal sides

"A polygon of...eight sides [is] an octagon." —Hallock 1905

Octagon

"A polygon of...eight sides [is] an octagon." —Hallock 1905

An illustration showing how to construct an octagon on a given line. "Prolong AB to C. With B as center and AB as radius, draw the circle AFDEC; from B, draw BI at right angles to AB; divide the angles ABC and DBC each into two equal parts; then BD is one side of the octagon. With A and E as centers, draw the arcs HKE and AKI, which determine the points H and I, and thus complete the octagon as shown in the illustration."

Construction Of An Octagon

An illustration showing how to construct an octagon on a given line. "Prolong AB to C. With B as center…

Illustration of an irregular concave octagon. This polygon has some symmetry.

Irregular Concave Octagon

Illustration of an irregular concave octagon. This polygon has some symmetry.

Illustration of an irregular concave octagon.

Irregular Concave Octagon

Illustration of an irregular concave octagon.

Illustration of an irregular concave octagon. This polygon has some symmetry.

Irregular Concave Octagon

Illustration of an irregular concave octagon. This polygon has some symmetry.

Illustration of an irregular concave octagon. This polygon has some symmetry.

Irregular Concave Octagon

Illustration of an irregular concave octagon. This polygon has some symmetry.

Illustration of an irregular convex octagon. This polygon has some symmetry.

Irregular Convex Octagon

Illustration of an irregular convex octagon. This polygon has some symmetry.

Illustration of an irregular convex octagon. This polygon has some symmetry.

Irregular Convex Octagon

Illustration of an irregular convex octagon. This polygon has some symmetry.

Illustration of an irregular convex octagon.

Irregular Convex Octagon

Illustration of an irregular convex octagon.

Illustration of an irregular convex octagon. This polygon has some symmetry.

Irregular Convex Octagon

Illustration of an irregular convex octagon. This polygon has some symmetry.

Illustration of an irregular convex octagon. This polygon has some symmetry.

Irregular Convex Octagon

Illustration of an irregular convex octagon. This polygon has some symmetry.

Octagon constructed from a square.

Construction of Octagon From Square

Octagon constructed from a square.

Illustration of an octagon with symmetry with respect to two axes perpendicular to each other. It is symmetrical with respect to their intersection as a center.

Octagon with Symmetry

Illustration of an octagon with symmetry with respect to two axes perpendicular to each other. It is…

A stretched out image of the octagonal dome by using projection or with dividers to create a five-piece elbow.

Development of Octagonal Dome

A stretched out image of the octagonal dome by using projection or with dividers to create a five-piece…

Illustration of a right octagonal pyramid, with hidden edges shown, that has been cut by a plane parallel to the base. The lower part is known as the frustum.

Octagonal Pyramid Cut By Plane

Illustration of a right octagonal pyramid, with hidden edges shown, that has been cut by a plane parallel…

Illustration of a right octagonal pyramid that has been cut by a plane parallel to the base. The lower part is known as the frustum.

Octagonal Pyramid Cut By Plane

Illustration of a right octagonal pyramid that has been cut by a plane parallel to the base. The lower…

Illustration of a hollow octagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid.

Frustum Of A Octagonal Pyramid

Illustration of a hollow octagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a figure that is made up of 4 octagons with 5 squares (diamonds).

Design Consisting of Octagons and Squares

Illustration of a figure that is made up of 4 octagons with 5 squares (diamonds).

Illustration of 2 regular concentric octagons.

2 Concentric Octagons

Illustration of 2 regular concentric octagons.

Illustration of 2 regular concentric octagons.

2 Concentric Octagons

Illustration of 2 regular concentric octagons.

Illustration of 3 regular concentric octagons that are equally spaced.

3 Concentric Octagons

Illustration of 3 regular concentric octagons that are equally spaced.

Illustration of 4 regular concentric octagons that are equally spaced.

4 Concentric Octagons

Illustration of 4 regular concentric octagons that are equally spaced.

This is an overlapping octagon pattern.

Octagon Pattern

This is an overlapping octagon pattern.

Polygon consisting of 8 sides

8-sided Polygon

Polygon consisting of 8 sides

Illustration of crossed polygon. This is not generally considered to be a real polygon.

Crossed Polygon

Illustration of crossed polygon. This is not generally considered to be a real polygon.

1/8 of a 8 sided polygon

Fractions of 8-sided Polygon

1/8 of a 8 sided polygon

2/8 of a 8 sided polygon

Fractions of 8-sided Polygon

2/8 of a 8 sided polygon

3/8 of a 8 sided polygon

Fractions of 8-sided Polygon

3/8 of a 8 sided polygon

4/8 of a 8 sided polygon

Fractions of 8-sided Polygon

4/8 of a 8 sided polygon

5/8 of a 8 sided polygon

Fractions of 8-sided Polygon

5/8 of a 8 sided polygon

6/8 of a 8 sided polygon

Fractions of 8-sided Polygon

6/8 of a 8 sided polygon

7/8 of a 8 sided polygon

Fractions of 8-sided Polygon

7/8 of a 8 sided polygon

8/8 of a 8 sided polygon

Fractions of 8-sided Polygon

8/8 of a 8 sided polygon

8/8 of a 8 sided polygon with one piece detached

Fractions of 8-sided Polygon

8/8 of a 8 sided polygon with one piece detached

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The hidden edges are shown.

Octagonal Prism

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The hidden…

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the octagon. The hidden edges are shown.

Octagonal Prism

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The height…

Illustration of a right octagonal prism with octagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the octagon.

Octagonal Prism

Illustration of a right octagonal prism with octagons for bases and rectangular faces. The height of…

Illustration of a right octagonal prism, with octagons for bases and rectangular faces, that is resting on its side (an edge). The height of the prism is greater than the length of a side of the octagon.

Octagonal Prism Resting On Side

Illustration of a right octagonal prism, with octagons for bases and rectangular faces, that is resting…

Illustration of a skewed octagonal prism. The prism is non-right.

Skewed Octagonal Prism

Illustration of a skewed octagonal prism. The prism is non-right.

Illustration of 2 right octagonal prisms with congruent bases, but different heights. The height of the smaller prism is one half that of the larger.

2 Octagonal Prisms

Illustration of 2 right octagonal prisms with congruent bases, but different heights. The height of…

Illustration of 2 Similar right octagonal prisms. The height and length of the edges of the smaller prism are one half that of the larger.

2 Similar Octagonal Prisms

Illustration of 2 Similar right octagonal prisms. The height and length of the edges of the smaller…

Illustration of a hollow right octagonal pyramid. The base is an octagon and the faces are isosceles triangles. The pyramid is inverted, meaning that the vertex is at the bottom and the base is on top.

Inverted Octagonal Pyramid

Illustration of a hollow right octagonal pyramid. The base is an octagon and the faces are isosceles…

Illustration of a right octagonal pyramid with hidden edges shown. The base is an octagon and the faces are isosceles triangles.

Octagonal Pyramid

Illustration of a right octagonal pyramid with hidden edges shown. The base is an octagon and the faces…

"Draw the diagonals of the square. With the corners of the square as centers and radius of half the diagonal draw arcs intersecting the sides of the square and connect these points." —French, 1911

Inscribe Regular Octagon in Given Square

"Draw the diagonals of the square. With the corners of the square as centers and radius of half the…

"A hive largely and successfully used in Scotland, it is octagonal, and the "Quinby hive" of America is much deeper from back to front than it is wide. The Stewarton is not properly a frame, but a bar-hive, although frames are sometimes fitted to it. It usually consists of three octagon breeding-boxes, 14 inches in diameter by 6 inches deep, each furnished with nine bars placed equidistant, the spaces between being occupied by movable slides of wood working in grooves in the bars." — Encyclopedia Britanica, 1893

Stewarton Hive

"A hive largely and successfully used in Scotland, it is octagonal, and the "Quinby hive" of America…

This sign indicates that vehicles must come to a complete stop. It is to be installed at the right side of the approach to which it applies.

Stop, Black and White

This sign indicates that vehicles must come to a complete stop. It is to be installed at the right side…

This sign indicates that vehicles must come to a complete stop. It is to be installed at the right side of the approach to which it applies.

Stop, Color

This sign indicates that vehicles must come to a complete stop. It is to be installed at the right side…

This sign indicates that vehicles must come to a complete stop. It is to be installed at the right side of the approach to which it applies.

Stop, Outline

This sign indicates that vehicles must come to a complete stop. It is to be installed at the right side…